Problem 4.53

A smooth horizontal disc rotates about the vertical axis 0 (Fig. 4.15) with a constant angular velocity \(\omega .\) A thin uniform rod \(A B\) of length \(l\) performs small oscillations about the vertical axis \(A\) fixed to the disc at a distance \(a\) from the axis of the disc. Find the frequency \(\omega_{0}\) of these oscillations.